174119 ÷ 26 
We want to divide 174119 by 26.

Let's proceed to step 1:
When dividing 1 by 26, we get 0 with a remainder of 1.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Append the next digit (7) from the dividend to 1 and continue with: 17 / 26

Advancing to step 2:
When dividing 17 by 26, we get 0 with a remainder of 17.
Write down 0 as next digit of the result. 
Result so far: 0.0
Subtract 0 from 17 to get 17.
Fetch the next digit (4) from the dividend, attach it to 17 and continue: 174 / 26

Step 3:
If we divide 174 by 26, we get 6 and a remainder of 18.
Write down 6 as next digit of the result. 
Result so far: 6.0
Deduct 156 from 174 and we're left with 18.
Fetch the next digit (1) from the dividend, attach it to 18 and continue: 181 / 26

Step 4:
26 goes into 181 6 times with a remainder of 25.
Record the quotient 6 as the next digit in the result. 
Result so far: 66.0
If we take 156 away from 181, we end up with 25.
Append the next digit (1) from the dividend to 25 and continue with: 251 / 26

Advancing to step 5:
251 divided by 26 is 9 with a remainder of 17.
Record the quotient 9 as the next digit in the result. 
Result so far: 669.0
The remainder is 17 after subtracting 234 from 251.
Bring next digit (9) of the dividend behind the 17 and repeat the process: 179 / 26

Step 6:
26 goes into 179 6 times with a remainder of 23.
Record the quotient 6 as the next digit in the result. 
Result so far: 6696.0
The remainder is 23 after subtracting 156 from 179.
Since there are no more digits in the dividend, we add a zero to the remainder making it 230, and continue the process.

Moving on to step 7:
When dividing 230 by 26, we get 8 with a remainder of 22.
The next digit of our result is 8. 
Result so far: 6696.8
If we take 208 away from 230, we end up with 22.
Since there are no more digits in the dividend, we add a zero to the remainder making it 220, and continue the process.

Let's proceed to step 8:
If we divide 220 by 26, we get 8 and a remainder of 12.
Write down 8 as next digit of the result. 
Result so far: 6696.88
Deduct 208 from 220 and we're left with 12.
Since there are no more digits in the dividend, we add a zero to the remainder making it 120, and continue the process.

The quotient of the division is 6696.88, and the remainder is 0.012.